On a precision estimate for a hydrodynamics problem with discontinuous coefficients in the norm of the space $\mathbf L_2(\Omega_h)$
A. V. Rukavishnikov
Khabarovsk Branch, Institute of Applied Mathematics FEB RAS, Khabarovsk, RUSSIA
We study the 2-dimensional problem obtained by time-discretizing and linearizing the problem of flow of a 2-phase viscous fluid without mixing in the statement of incompressible Navier–Stokes equations with time-dependent interface. For an approximate solution to this problem we construct a scheme of a nonconformal finite element method. We estimate the rate of convergence of the mesh solution to the exact solution to the problem in the norm of $\mathbf L_2(\Omega_h)$, which agrees with simulations.
discontinuous coefficients, domain decomposition, nonconformal finite element method, mortar elements.
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A. V. Rukavishnikov, “On a precision estimate for a hydrodynamics problem with discontinuous coefficients in the norm of the space $\mathbf L_2(\Omega_h)$”, Sib. Zh. Ind. Mat., 15:1 (2012), 110–122
Citation in format AMSBIB
\paper On a~precision estimate for a~hydrodynamics problem with discontinuous coefficients in the norm of the space~$\mathbf L_2(\Omega_h)$
\jour Sib. Zh. Ind. Mat.
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